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padilas [110]
3 years ago
15

PLEASE HELP!! In triangle ABC, B= 120 degrees, a=10, c=18, find C

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0
Add all of them then subtract from 180
sveta [45]3 years ago
7 0
Check the picture below.  Notice that we can always solve for the cosine and simply use the sides alone to get an angle.

\bf cos^{-1}\left(\cfrac{10^2+(\sqrt{604})^2-18^2}{2(10)(\sqrt{604})}  \right)=\measuredangle C
\\\\\\
cos^{-1}\left(\cfrac{100+604-324}{20\sqrt{604}}  \right)=\measuredangle C \\\\\\
cos^{-1}(0.77309903583)\approx \measuredangle C\implies 39.366998916677^o\approx \measuredangle C

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Mrac [35]
The Tama monorail runs for 18 hours every day.
3 0
2 years ago
The sum of the three numbers in 2003,two of the numbers are 814 and 519 what is the third number​
KonstantinChe [14]

Answer:

670

Step-by-step explanation:

2003-814=1189

1189-519=670

8 0
3 years ago
Read 2 more answers
An initial population of 415
slamgirl [31]

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

3 0
3 years ago
What is the value of x in the equation 3x - 4 (2x - 5) = 15
Zepler [3.9K]

Hey there! I'm happy to help!

Here is our equation

3x - 4 (2x - 5) = 15

First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.

3x-8x+20=15

We combine our like terms (our x-values).

-5x+20=15

We subtract 20 from both sides.

-5x=-5

We divide both sides by -5.

x=1

Have a wonderful day and keep on learning! :D

3 0
3 years ago
Read 2 more answers
How many solutions does the equation x^2-9x=-8 have?
Elza [17]
X^2-9x=-8
x^2-9x+8=-8+8
x^2-9x+8=0
(x-8)(x-1)=0

x-8=0
x-8+8=0+8
x=8

x-1=0
x-1+1=0+1
x=1

There are 2 solutions, which are 1 and 8 
8 0
3 years ago
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